GCD of 745, 615, 16, 264 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 745, 615, 16, 264 i.e. 1 largest integer that divides all the numbers equally.

GCD of 745, 615, 16, 264 is 1

GCD(745, 615, 16, 264) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 745, 615, 16, 264 is 1

GCD(745, 615, 16, 264) = 1

GCD of 745,615,16,264 Calculator

GCDof 745,615,16,264 is 1

Given Input numbers are 745, 615, 16, 264

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 745, 615, 16, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 615, 16, 264 is 1.

Therefore, GCD of numbers 745, 615, 16, 264 is 1

Finding GCD of 745, 615, 16, 264 using Prime Factorization

Given Input Data is 745, 615, 16, 264

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 745 is 5 x 149

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 745, 615, 16, 264 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(745, 615) = 91635

GCD(745, 615) = ( 745 x 615 ) / 91635

GCD(745, 615) = 458175 / 91635

GCD(745, 615) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 16

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 16) = 80

GCD(5, 16) = ( 5 x 16 ) / 80

GCD(5, 16) = 80 / 80

GCD(5, 16) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 745, 615, 16, 264 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 745, 615, 16, 264

1. What is the GCD of 745, 615, 16, 264?

GCD of 745, 615, 16, 264 is 1


2. Where do I get the detailed procedure to find GCD of 745, 615, 16, 264?

You can find a detailed procedure to find GCD of 745, 615, 16, 264 on our page.


3. How to find GCD of 745, 615, 16, 264 on a calculator?

You can find the GCD of 745, 615, 16, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.